Title :
Conditions for the simultaneous stabilizability of a segment of systems
Author :
Fonte, Christophe
Author_Institution :
CRAN, Nancy Univ., Vandoeuvre-les-Nancy
Abstract :
This paper examines conditions for the simultaneous stabilizability of a segment of linear systems. Some criteria of positive semidefinite matrix and of sums of squares of polynomials are presented to check the Hurwitzness of the corresponding Diophantine equation. These results yield to a tractable method to test the simultaneous stabilizability of uncertain segments of systems in some cases when it may be given a simultaneous compensator for the two endpoints of this segment.
Keywords :
compensation; linear systems; polynomial matrices; stability; uncertain systems; Diophantine equation; linear systems; positive semideflnite matrix; stabilizability; tractable method; uncertain segments; Automatic control; Control systems; Equations; Linear systems; Polynomials; Regulators; Stability; System testing; Transfer functions; Uncertain systems;
Conference_Titel :
American Control Conference, 2008
Conference_Location :
Seattle, WA
Print_ISBN :
978-1-4244-2078-0
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2008.4587061
